Solve the Equation After Making an Appropriate Substitution $$( 4 x - 4 ) ^ { 2 } + 2 ( 4 x - 4 ) - 3 = 0$$

Multiple Choice

Solve the equation after making an appropriate substitution.
- $$( 4 x - 4 ) ^ { 2 } + 2 ( 4 x - 4 ) - 3 = 0$$

A) $\left\{ \frac { 7 } { 4 } , - \frac { 3 } { 4 } \right\}$
B) $\left\{ - \frac { 1 } { 4 } , - \frac { 5 } { 4 } \right\}$
C) $\left\{ - \frac { 7 } { 4 } , \frac { 3 } { 4 } \right\}$
D) $\left\{ \frac { 1 } { 4 } , \frac { 5 } { 4 } \right\}$